Exterior calculus and the finite element approximation of Maxwell's<br/><br/>eigenvalue problem

Tuesday, November 2, 2010 - 10:45am - 11:30am
Keller 3-180
Daniele Boffi (Università di Pavia)
Maxwell's eigenvalue problem can be seen as a particular case of the
Hodge-Laplace eigenvalue problem in the framework of exterior calculus.
In this context we present two mixed formulations that are equivalent
to the problem under consideration and their numerical approximation.
It turns out that the natural conditions for the good approximation of
the eigensolutions of the mixed formulations are equivalent to a
well-known discrete compactness property that has been firstly used by
Kikuchi for the analysis of edge finite elements.

The result can be applied to the convergence analysis of the p-version
of edge finite elements for the approximation of Maxwell's eigenvalue
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